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Book Cover
E-book
Author Logan, Robert K., 1939- author.

Title A topology of mind : spiral thought patterns, the hyperlinking of text, ideas and more / Robert K. Logan, Izabella Pruska-Oldenhof
Published Cham, Switzerland : Springer, 2022

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Description 1 online resource (xvii, 245 pages) : illustrations
Series Mathematics in mind, 2522-5413
Mathematics in mind, 2522-5413
Contents Part I: Mathematics in Mind -- 1. The Origins of Mathematics in the Mind -- 2. Mathematics, the Human Mind, Verbal Language -- 3. Mathematics, Writing, and Notation -- 4. Mathematics, Deductive Logic, and Abstract Science -- 5. Computing and the Internet -- Part II: Spiral Patterns in Nature and Human Thought -- 6. The Mathematical Structure of Cyclic Phenomena -- 7. Spiral and Cyclic Structures in the Abiotic Inorganic Material World -- 8. Life is a Spiral and it is Cyclic -- 9. Spiral Thought Structures in History and Philosophy -- 10. The Spiral Structure of Marshall McLuhan's Thinking -- 11. Spirals and the Arts -- Part III. Hyperlinking as Patterns of Connection -- 12. Pre-Digital Forms of Hypertext -- 13. Hypertext in the Digital Domain of Cyberspace -- 14. Hypermedia -- 15. Hyperlinking in the Spheres -- Epilogue -- References
Summary This volume covers many diverse topics related in varying degrees to mathematics in mind including the mathematical and topological structures of thought and communication. It examines mathematics in mind from the perspective of the spiral, cyclic and hyperlinked structures of the human mind in terms of its language, its thoughts and its various modes of communication in science, philosophy, literature and the arts including a chapter devoted to the spiral structure of the thought of Marshall McLuhan. In it, the authors examine the topological structures of hypertext, hyperlinking, and hypermedia made possible by the Internet and the hyperlinked structures that existed before its emergence. It also explores the cognitive origins of mathematical thinking of the human mind and its relation to the emergence of spoken language, and studies the emergence of mathematical notation and its impact on education
Bibliography Includes bibliographical references
Notes Online resource; title from PDF title page (SpringerLink, viewed May 10, 2022)
Subject Mathematics -- Philosophy.
Thought and thinking -- Mathematics
Psycholinguistics.
psycholinguistics.
Matemáticas -- Filosofía
Pensamiento -- Matemáticas
Psicolingüística
Mathematics -- Philosophy
Psycholinguistics
Form Electronic book
Author Pruska-Oldenhof, Izabella, author
ISBN 9783030964368
3030964361